LCM of 334, 190, 214, 670, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 190, 214, 670, 975 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 334, 190, 214, 670, 975. So, keep reading to learn more.
Given numbers are 334,190,214,670,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,190,214,670,975 is 44357112150.
Find LCM of 334,190,214,670,975 with Prime Factorization
| 2 | 334, 190, 214, 670, 975 |
| 5 | 167, 95, 107, 335, 975 |
| 167, 19, 107, 67, 195 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 167 x 19 x 107 x 67 x 195 = 44357112150
Therefore, the lowest common multiple of 334,190,214,670,975 is 44357112150.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
334 x 190 x 214 x 670 x 975 = 8871422430000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
334 : 1, 2, 167, 334
190 : 1, 2, 5, 10, 19, 38, 95, 190
214 : 1, 2, 107, 214
670 : 1, 2, 5, 10, 67, 134, 335, 670
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,190,214,670,975, is 1.
Now, the common factors can be found like this.
334:2x 167
190:2x 5x 19
214:2x 107
670:2x 5x 67
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 5 = 200
Therefore, the value for common factors is 200.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 8871422430000/(1x200)
LCM = 8871422430000/200
LCM = 44357112150
Thus, we can understand that the LCM of 334,190,214,670,975 is 44357112150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 334, 190, 214, 670, 975
1. What is the LCM of 334, 190, 214, 670, 975?
Answer: LCM of 334, 190, 214, 670, 975 is 44357112150.
2. How to calculate the LCM of 334, 190, 214, 670, 975?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 334, 190, 214, 670, 975.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.